3 <!DOCTYPE work-package SYSTEM "work-package.dtd">
5 <work-package number="2">
6 <name>Transformation</name>
9 <person-month participant="bologna" number="13"/>
10 <person-month participant="inria" number="4"/>
11 <person-month participant="dfki" number="3"/>
12 <person-month participant="nijmegen" number="11"/>
13 <person-month participant="aei" number="3"/>
14 <person-month participant="trusted-logic" number="0"/>
16 <p>This work package is devoted to the complex issue of
17 transforming a low level, content description of mathematics
18 (understandable by automatic applications for the
19 mechanization of mathematics) into a human-readable
20 presentational format. It covers both statements and proofs.
21 The transformation will be decomposed in a sequence of
22 intermediate steps, for modularity reasons. All
23 transformations will be implemented by means of
24 XSLT-stylesheets. Stylesheets will be simple, modular, and
25 easily composable. All the transformation process should be
26 independent from any specific application.</p>
29 <p>The work package is articulated in the following tasks:</p>
32 <p>XML exportation. The task is devoted to the translation
33 of the standard library of the COQ Proof assistant into a
34 suitable XML dialect, and to the definition of a low-level
35 DTD for the terms of the Calculus of Inductive
36 Construction (the logical system used by COQ).</p>
39 <p>Stylesheets to intermediate representation.
40 Implementation of a bunch of stylesheets transforming the
41 low-level logical description of COQ-expressions into a
42 ``standard'' intermediate, content-level representation
43 such as MathML content.</p>
46 <p>Proof transformation. Similar to the previous task, but
47 for proofs. The delicate point, here, is the fact that no
48 ``standard'' intermediate representation currently exists,
49 and thus it has to be defined.</p>
52 <p>Automatic extraction of metadata. Relevant metadata such
53 as list of identifiers in critical positions inside
54 statements can be automatically extracted from the fully
55 structured representation of mathematical objects. This
56 information can then be exploited for searching and
57 retrieving. The precise list of metadata will be defined
58 in Work Package 3.</p>
61 <p>Presentational Stylesheets. Implementation of a bunch of
62 stylesheets transforming the intermediate content
63 representation into a suitable rendering format (MathML
64 presentation, HTML, etc.)</p>
67 <p>Automatic Proof Generation in Natural Language. Similar
68 to the previous task but for proofs. In this case, a fully
69 automated approach is unlikely to produce really
70 satisfactory results, and the process should be possibly
71 integrated with some mechanism for interactive annotation
76 <deliverable file="D2.a"/>
77 <deliverable file="D2.b"/>
78 <deliverable file="D2.c"/>
79 <deliverable file="D2.d"/>
80 <deliverable file="D2.e"/>
81 <deliverable file="D2.f"/>
82 <deliverable file="D2.g"/>
84 <p>The exportation module D2.a. is our first
85 milestone: without a large amount of available documents it
86 would be impossible to test the transformations. Similarly,
87 without a precise definition of the intermediate language,
88 and a large sample of documents in this format (D2c-d) we
89 cannot start to seriously address the presentational issue.
90 Note that the intermediate language is the real core of the
92 <p>The development of presentational stylesheets also depends
93 in an essential way on the development of rendering/browsing
94 engines for the chosen presentational language (in
95 particular, for MathML).</p>
96 <p>For the end of month 18, we expect to have a first working
97 prototype of the whole application.</p>